Insertion sort - Musobaqaviy dasturlash uchun Python dasturlash tili

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Bosh sahifa/Courses/Musobaqaviy dasturlash uchun Python dasturlash tili/Module 12: Basic Sorting Algorithms/Insertion sort

Insertion sort

Insertion sort

The algorithm consists of $n-1$ iterations. At iterations $1 \leq i \leq n-1$ , we sort the prefix of array $a$ of length $i+1$ . That is, before iteration , the subarray is sorted, and after the -th iteration, the subarray will be sorted. To do this, it is enough to find the right place to put .

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Problems

Problems for practice

i

i

a[1\ldots i]

i

a[1\ldots i+1]

a_{i+1}

Asymptotics: $O(N^2)$

for (int i = 1; i <= n - 1; i++) {
    for (int j = i + 1; j > 1; j--) {
        if (a[j - 1] > a[j]) {
            swap(a[j - 1], a[j]);
        } else {
            break;
        }
    }
}